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Current Physical Chemistry


ISSN (Print): 1877-9468
ISSN (Online): 1877-9476

Research Article

Why Thermodynamic Entropy and Statistical Entropy are Two Different Physical Quantities

Author(s): Andreas Paglietti*

Volume 13, Issue 3, 2023

Published on: 04 August, 2023

Page: [233 - 245] Pages: 13

DOI: 10.2174/1877946813666230622161503

Price: $65


Background: Historically, the coincidence of classical thermodynamic entropy and statistical entropy is based on an assumption (the so-called Boltzmann-Planck relation). The study shows that the Boltzmann-Planck relation is not valid in general.

Aims: The study demonstrates that thermodynamic entropy is a physical entity distinct from statistical entropy.

Methods: Initially, the entropy of ideal gases is examined and demonstrated to be independent of the gas volume. The ideal gas's true entropy is then expressed correctly.

Results: The Boltzmann-Planck entropy equation is demonstrated to be incapable of describing the thermodynamic entropy of ideal gases.

Conclusion: In general, the Boltzmann-Planck entropy cannot be considered a statistical interpretation of the thermodynamic entropy. The two entropies represent two different physical quantities. The physical quantity that enters the second law of thermodynamics is the thermodynamic entropy, not the statistical entropy.

The study advocates for a fundamental rethinking of today's statistical understanding of thermodynamics.

Keywords: Classical thermodynamics; heat transfer; entropy; ideal gases, statistical thermodynamics, second law of thermodynamics.

Graphical Abstract
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